Effective actions on squashed lens spaces

Details Effective actions on squashed lens spaces Effective actions on squashed lens spaces

2000-08-07

arxiv.org/abs/hep-th/0008059v1

Class.Quant.Grav. 18 (2001) 955-968

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, JyTeX

Scientific paper

10.1088/0264-9381/18/6/301

As a technical exercise with possible relevance to the holographic principle and string theory, the effective actions (functional determinants) for scalars and spinors on the squashed three-sphere identified under the action of a cyclic group, Z_m, are determined. Especially in the extreme oblate squashing limit, which has a thermodynamic interpretation, the high temperature behaviour is found as a function of m. Although the intermediate details for odd and even m are different, the final answers are the same. A thermodynamic interpretation for spinors is possible only for twisted periodicity conditions and m even.

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